Results 1 to 10 of about 403 (256)
Jordan-Lie Inner Ideals of the Orthogonal Lie Algebras
Wasit Journal of Computer and Mathematics Science, 2022 Let be an associative algebra over a field F of any characteristic with involution * and let K=skew(A)={a in A|a*=-a} be its corresponding sub-algebra under the Lie product [a,b]=ab-ba for all a,b in A .
Falah Saad Kareem, Hasan M. Shlaka
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Ideals in hom-associative Weyl algebras
International Electronic Journal of AlgebraWe introduce hom-associative versions of the higher order Weyl algebras, generalizing the construction of the first hom-associative Weyl algebras. We then show that the higher order hom-associative Weyl algebras are simple, and that all their one-sided ideals are principal.
Bäck, Per, Richter, Johan
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Fuzzy associative ℐ‐ideals of IS‐algebras
International Journal of Mathematics and Mathematical Sciences, 2000 We fuzzify the concept of an associative ℐ‐ideal in an IS‐algebra. We give a relation between a fuzzy ℐ‐ideal and a fuzzy associative ℐ‐ideal, and we investigate some related properties.
Eun Hwan Roh +2 more
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Ideals and Homomorphism Theorems of Fuzzy Associative Algebras
MathematicsBased on the definitions of fuzzy associative algebras and fuzzy ideals, it is proven that the intersections of fuzzy subalgebras are fuzzy subalgebras, and the intersections of fuzzy ideals are fuzzy ideals. Moreover, we prove that the kernels of fuzzy homomorphisms are fuzzy ideals.
Xiaoman Yang, Xin Zhou
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On the semigroups of fully invariant ideals of the free group algebra and the free associative algebra [PDF]
Proceedings of the American Mathematical Society, 1993 Let R R be an integral domain,
Samuel M. Vovsi
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On ideals of free associative algebras generated by a single element
Journal of Algebra, 1968 In the 1930’s, Wilhelm Magnus [.5], [6] proved some deep theorems about groups presented on a single relation, perhaps the most famous of which are the Freiheitssatz and the solvability of the word problem. With the proper definitions, the statements of Magnus’ theorems translate immediately into conjectures about associative linear algebras.
Lewin, Jacques, Lewin, Tekla
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On Real Algebras Associated with Ideal Convergence
Real Analysis Exchange, 2022 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Balaz, Vladimir +2 more
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Alternator and associator ideal algebras [PDF]
Transactions of the American Mathematical Society, 1977 If I is the ideal generated by all associators, ( a , b ,
Hentzel, Irvin Roy +2 more
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On the Comaximal (Ideal) Graph Associated With Amalgamated Algebra
Discrete Mathematics Letters, 2022 Summary: Let \(f:A \rightarrow B\) be a ring homomorphism of the commutative rings \(A\) and \(B\) with identities. Let \(J\) be an ideal of \(B\). The amalgamation of \(A\) with \(B\) along \(J\) with respect to \(f\) is a subring of \(A \times B\) given by \(A \bowtie^f J:=\{(a, f(a) +j)|a \in A\), \(j \in J\}\).
Zinat Rastgar +2 more
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Commutator Ideals and Semicommutator Ideals of Toeplitz Algebras Associated with Flows [PDF]
Proceedings of the American Mathematical Society, 1992 We prove that for a Toeplitz C ∗
Muhly, Paul S., Xia, Jingbo
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